445939200000 has 1404 divisors, whose sum is σ = 1896607046880. Its totient is φ = 100638720000.

The previous prime is 445939199983. The next prime is 445939200023. The reversal of 445939200000 is 2939544.

445939200000 is a `hidden beast` number, since 44 + 593 + 9 + 20 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5644799961 + ... + 5644800039.

It is an arithmetic number, because the mean of its divisors is an integer number (1350859720).

Almost surely, 2^445939200000 is an apocalyptic number.

445939200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445939200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948303523440).

445939200000 is an abundant number, since it is smaller than the sum of its proper divisors (1450667846880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445939200000 is an frugal number, since it uses more digits than its factorization.

445939200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 445939200000 in words is "four hundred forty-five billion, nine hundred thirty-nine million, two hundred thousand".